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Finding the Fourth Proportional to 6,836.32, 9,424.47 and 6,742.72

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Solution

The fourth proportional to 6,836.32, 9,424.47 and 6,742.72 is: 9,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.32 : 9,424.47 = 6,742.72 : x
  2. Step 2: Convert to fraction form
    6,836.32/9,424.47 = 6,742.72/x
  3. Step 3: Cross multiply
    6,836.32x = 9,424.47 × 6,742.72
  4. Step 4: Simplify right side
    6,836.32x = 63,546,562.36
  5. Step 5: Solve for x
    x = 63,546,562.36/6,836.32
  6. Step 6: Final answer
    x = 9,295.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.